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Finding the Fourth Proportional to 652.08, 975.84 and 469.84

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Solution

The fourth proportional to 652.08, 975.84 and 469.84 is: 703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 975.84 = 469.84 : x
  2. Step 2: Convert to fraction form
    652.08/975.84 = 469.84/x
  3. Step 3: Cross multiply
    652.08x = 975.84 × 469.84
  4. Step 4: Simplify right side
    652.08x = 458,488.67
  5. Step 5: Solve for x
    x = 458,488.67/652.08
  6. Step 6: Final answer
    x = 703.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.